000112443 001__ 112443 000112443 005__ 20230519145358.0 000112443 0247_ $$2doi$$a10.1080/10652469.2020.1867129 000112443 0248_ $$2sideral$$a122552 000112443 037__ $$aART-2021-122552 000112443 041__ $$aeng 000112443 100__ $$aDurán, A.J. 000112443 245__ $$aOn the properties of zeros of Bessel series in the real line 000112443 260__ $$c2021 000112443 5060_ $$aAccess copy available to the general public$$fUnrestricted 000112443 5203_ $$aFor a given sequence of real numbers (Formula presented.), we define the function (Formula presented.) where (Formula presented.), (Formula presented.) denotes the Bessel function of order µ, and (Formula presented.) are the positive zeros of (Formula presented.). In this paper, we study the function (Formula presented.) and some outstanding instances of it on the whole real line and propose a number of conjectures about its positive zeros. 000112443 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E26-17R$$9info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096504-B-C31$$9info:eu-repo/grantAgreement/ES/MICINN/PGC2018-096504-B-C32 000112443 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc$$uhttp://creativecommons.org/licenses/by-nc/3.0/es/ 000112443 590__ $$a1.167$$b2021 000112443 592__ $$a0.741$$b2021 000112443 594__ $$a1.8$$b2021 000112443 591__ $$aMATHEMATICS$$b119 / 333 = 0.357$$c2021$$dQ2$$eT2 000112443 593__ $$aApplied Mathematics$$c2021$$dQ2 000112443 591__ $$aMATHEMATICS, APPLIED$$b172 / 267 = 0.644$$c2021$$dQ3$$eT2 000112443 593__ $$aAnalysis$$c2021$$dQ2 000112443 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000112443 700__ $$0(orcid)0000-0002-3050-3712$$aPérez, M.$$uUniversidad de Zaragoza 000112443 700__ $$aVarona, J.L. 000112443 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático 000112443 773__ $$g32, 11 (2021), 912-931$$pIntegral transforms spec. funct.$$tIntegral transforms and special functions$$x1065-2469 000112443 8564_ $$s402810$$uhttps://zaguan.unizar.es/record/112443/files/texto_completo.pdf$$yPostprint 000112443 8564_ $$s1284570$$uhttps://zaguan.unizar.es/record/112443/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000112443 909CO $$ooai:zaguan.unizar.es:112443$$particulos$$pdriver 000112443 951__ $$a2023-05-18-13:35:02 000112443 980__ $$aARTICLE